Existence of solutions of n-point boundary value problems on the half-line in Banach spaces
ABSTRACT In this paper, the Mönch fixed point theorem is used to investigate the existence of solutions of a n-point boundary value problem on the half-line in a Banach space. As an application, we give an example in an infinite dimensional
space to demonstrate our results.
KeywordsBoundary value problem-Half-line-Banach spaces-Existence of solution
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ABSTRACT: In this paper, the Krasnosels’kii ﬁxed point theorem in cones for strict set-contraction is used to investigate the existence of single and twin positive solutions for a class of a two-point boundary value problem of second-order nonlinear diﬀerential equations posed on an inﬁnite interval. The nonlinearity, which may have time-singularity, takes values in a general Banach space and have at most polynomial growth with respect to the unknown.Mediterranean Journal of Mathematics 02/2014; 11(1):45-74. DOI:10.1007/s00009-013-0362-1 · 0.65 Impact Factor